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Simplifying 3(2x + -2 + -3) + -7(x + -1) = 0 Reorder the terms: 3(-2 + -3 + 2x) + -7(x + -1) = 0 Combine like terms: -2 + -3 = -5 3(-5 + 2x) + -7(x + -1) = 0 (-5 * 3 + 2x * 3) + -7(x + -1) = 0 (-15 + 6x) + -7(x + -1) = 0 Reorder the terms: -15 + 6x + -7(-1 + x) = 0 -15 + 6x + (-1 * -7 + x * -7) = 0 -15 + 6x + (7 + -7x) = 0 Reorder the terms: -15 + 7 + 6x + -7x = 0 Combine like terms: -15 + 7 = -8 -8 + 6x + -7x = 0 Combine like terms: 6x + -7x = -1x -8 + -1x = 0 Solving -8 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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